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Finding the Fourth Proportional to 391.84, 540.12 and 304.54

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Solution

The fourth proportional to 391.84, 540.12 and 304.54 is: 419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.84 : 540.12 = 304.54 : x
  2. Step 2: Convert to fraction form
    391.84/540.12 = 304.54/x
  3. Step 3: Cross multiply
    391.84x = 540.12 × 304.54
  4. Step 4: Simplify right side
    391.84x = 164,488.14
  5. Step 5: Solve for x
    x = 164,488.14/391.84
  6. Step 6: Final answer
    x = 419.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.